Exponential stability of the plate equations with potential of second order and indefinite damping

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Li, Jing¹  Wu, Yingtao¹ 

[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

关键词: Plate equation;    Indefinite damping;    Carleman estimate;    Observability inequality;    Exponential decay rate;   

DOI  :  10.1016/j.jmaa.2009.05.030

来源: Elsevier

【 摘 要 】

We study the exponential stability of the plate equations with potential of second order and indefinite sign damping term. By means of a global Carleman-type estimate and the usual perturbation method, we show that the energy of the system decays exponentially provided that the negative damping is sufficiently small. Both the energy decay rate and the upper bound estimate on the negative damping are given explicitly. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free